Well-Posedness of Rough 2D Euler Equations with Bounded Vorticity

e consider the 2D Euler equations with bounded initial vorticity and perturbed4 by rough transport noise. We show that a unique solution exists, which coincides with the starting5 condition advected by the Lagrangian flow. Moreover, we prove that the solution map is continuous6 with respect to the initial vorticity, the advecting vector fields and the rough perturbation. As an7 immediate corollary, we obtain a Wong-Zakai result for fractional Brownian driving paths.